Geodesic
On Hölder regularity for vector-valued minimizers of quasilinear functionals
Mathematica Bohemica, Tome 135 (2010) no. 2, pp. 199-207

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MR Zbl
We discuss the interior Hölder everywhere regularity for minimizers of quasilinear functionals of the type $$ \mathcal A(u;\Omega )=\int _{\Omega } A_{ij}^{\alpha \beta }(x,u) D_{\alpha }u^iD_{\beta }u^j\,{\rm d}x $$ whose gradients belong to the Morrey space $L^{2,n-2}(\Omega ,\mathbb R^{nN})$.
We discuss the interior Hölder everywhere regularity for minimizers of quasilinear functionals of the type $$ \mathcal A(u;\Omega )=\int _{\Omega } A_{ij}^{\alpha \beta }(x,u) D_{\alpha }u^iD_{\beta }u^j\,{\rm d}x $$ whose gradients belong to the Morrey space $L^{2,n-2}(\Omega ,\mathbb R^{nN})$.
DOI : 10.21136/MB.2010.140697
Classification : 35J60
Keywords: quasilinear functional; minimizer; regularity; Campanato-Morrey space 
Daněček, Josef; Viszus, Eugen. On Hölder regularity for vector-valued minimizers of quasilinear functionals. Mathematica Bohemica, Tome 135 (2010) no. 2, pp. 199-207. doi: 10.21136/MB.2010.140697
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